{"id":"https://openalex.org/W2052143039","doi":"https://doi.org/10.1007/s10107-006-0073-5","title":"Geometry of interpolation sets in derivative free optimization","display_name":"Geometry of interpolation sets in derivative free optimization","publication_year":2006,"publication_date":"2006-12-11","ids":{"openalex":"https://openalex.org/W2052143039","doi":"https://doi.org/10.1007/s10107-006-0073-5","mag":"2052143039"},"language":"en","primary_location":{"id":"doi:10.1007/s10107-006-0073-5","is_oa":false,"landing_page_url":"https://doi.org/10.1007/s10107-006-0073-5","pdf_url":null,"source":{"id":"https://openalex.org/S193920097","display_name":"Mathematical Programming","issn_l":"0025-5610","issn":["0025-5610","1436-4646"],"is_oa":false,"is_in_doaj":false,"is_core":true,"host_organization":"https://openalex.org/P4310319900","host_organization_name":"Springer Science+Business Media","host_organization_lineage":["https://openalex.org/P4310319900","https://openalex.org/P4310319965"],"host_organization_lineage_names":["Springer Science+Business Media","Springer Nature"],"type":"journal"},"license":null,"license_id":null,"version":"publishedVersion","is_accepted":true,"is_published":true,"raw_source_name":"Mathematical Programming","raw_type":"journal-article"},"type":"article","indexed_in":["crossref"],"open_access":{"is_oa":false,"oa_status":"closed","oa_url":null,"any_repository_has_fulltext":false},"authorships":[{"author_position":"first","author":{"id":"https://openalex.org/A5103149740","display_name":"Andrew R. Conn","orcid":"https://orcid.org/0000-0001-7470-1035"},"institutions":[{"id":"https://openalex.org/I1341412227","display_name":"IBM (United States)","ror":"https://ror.org/05hh8d621","country_code":"US","type":"company","lineage":["https://openalex.org/I1341412227"]}],"countries":["US"],"is_corresponding":false,"raw_author_name":"A. R. Conn","raw_affiliation_strings":["Department of Mathematical Sciences, IBM T.J. Watson Research Center, Route 134, P.O. Box 218, Yorktown Heights, NY, 10598, USA","IBM T.J. Watson Research Center, Department of Mathematical Sciences, P.O. Box 218, Route 134, 10598, Yorktown Heights, NY, USA#TAB#"],"raw_orcid":null,"affiliations":[{"raw_affiliation_string":"Department of Mathematical Sciences, IBM T.J. Watson Research Center, Route 134, P.O. Box 218, Yorktown Heights, NY, 10598, USA","institution_ids":[]},{"raw_affiliation_string":"IBM T.J. Watson Research Center, Department of Mathematical Sciences, P.O. Box 218, Route 134, 10598, Yorktown Heights, NY, USA#TAB#","institution_ids":["https://openalex.org/I1341412227"]}]},{"author_position":"middle","author":{"id":"https://openalex.org/A5026789944","display_name":"Katya Scheinberg","orcid":"https://orcid.org/0000-0003-3547-1841"},"institutions":[{"id":"https://openalex.org/I1341412227","display_name":"IBM (United States)","ror":"https://ror.org/05hh8d621","country_code":"US","type":"company","lineage":["https://openalex.org/I1341412227"]}],"countries":["US"],"is_corresponding":false,"raw_author_name":"K. Scheinberg","raw_affiliation_strings":["Department of Mathematical Sciences, IBM T.J. Watson Research Center, Route 134, P.O. Box 218, Yorktown Heights, NY, 10598, USA","IBM T.J. Watson Research Center, Department of Mathematical Sciences, P.O. Box 218, Route 134, 10598, Yorktown Heights, NY, USA#TAB#"],"raw_orcid":null,"affiliations":[{"raw_affiliation_string":"Department of Mathematical Sciences, IBM T.J. Watson Research Center, Route 134, P.O. Box 218, Yorktown Heights, NY, 10598, USA","institution_ids":[]},{"raw_affiliation_string":"IBM T.J. Watson Research Center, Department of Mathematical Sciences, P.O. Box 218, Route 134, 10598, Yorktown Heights, NY, USA#TAB#","institution_ids":["https://openalex.org/I1341412227"]}]},{"author_position":"last","author":{"id":"https://openalex.org/A5045737795","display_name":"L. N. Vicente","orcid":"https://orcid.org/0000-0003-1097-6384"},"institutions":[{"id":"https://openalex.org/I1341412227","display_name":"IBM (United States)","ror":"https://ror.org/05hh8d621","country_code":"US","type":"company","lineage":["https://openalex.org/I1341412227"]}],"countries":["US"],"is_corresponding":true,"raw_author_name":"Lu\u00eds N. Vicente","raw_affiliation_strings":["Department of Mathematical Sciences, IBM T.J. Watson Research Center, Route 134, P.O. Box 218, Yorktown Heights, NY, 10598, USA","IBM T.J. Watson Research Center, Department of Mathematical Sciences, P.O. Box 218, Route 134, 10598, Yorktown Heights, NY, USA#TAB#"],"raw_orcid":null,"affiliations":[{"raw_affiliation_string":"Department of Mathematical Sciences, IBM T.J. Watson Research Center, Route 134, P.O. Box 218, Yorktown Heights, NY, 10598, USA","institution_ids":[]},{"raw_affiliation_string":"IBM T.J. Watson Research Center, Department of Mathematical Sciences, P.O. Box 218, Route 134, 10598, Yorktown Heights, NY, USA#TAB#","institution_ids":["https://openalex.org/I1341412227"]}]}],"institutions":[],"countries_distinct_count":1,"institutions_distinct_count":3,"corresponding_author_ids":["https://openalex.org/A5045737795"],"corresponding_institution_ids":["https://openalex.org/I1341412227"],"apc_list":{"value":2190,"currency":"EUR","value_usd":2890},"apc_paid":null,"fwci":4.5338,"has_fulltext":false,"cited_by_count":135,"citation_normalized_percentile":{"value":0.94196762,"is_in_top_1_percent":false,"is_in_top_10_percent":true},"cited_by_percentile_year":{"min":96,"max":99},"biblio":{"volume":"111","issue":"1-2","first_page":"141","last_page":"172"},"is_retracted":false,"is_paratext":false,"is_xpac":false,"primary_topic":{"id":"https://openalex.org/T12661","display_name":"Iterative Methods for Nonlinear Equations","score":0.9997000098228455,"subfield":{"id":"https://openalex.org/subfields/2612","display_name":"Numerical Analysis"},"field":{"id":"https://openalex.org/fields/26","display_name":"Mathematics"},"domain":{"id":"https://openalex.org/domains/3","display_name":"Physical Sciences"}},"topics":[{"id":"https://openalex.org/T12661","display_name":"Iterative Methods for Nonlinear Equations","score":0.9997000098228455,"subfield":{"id":"https://openalex.org/subfields/2612","display_name":"Numerical Analysis"},"field":{"id":"https://openalex.org/fields/26","display_name":"Mathematics"},"domain":{"id":"https://openalex.org/domains/3","display_name":"Physical Sciences"}},{"id":"https://openalex.org/T11245","display_name":"Advanced Numerical Analysis Techniques","score":0.9993000030517578,"subfield":{"id":"https://openalex.org/subfields/2206","display_name":"Computational Mechanics"},"field":{"id":"https://openalex.org/fields/22","display_name":"Engineering"},"domain":{"id":"https://openalex.org/domains/3","display_name":"Physical Sciences"}},{"id":"https://openalex.org/T10963","display_name":"Advanced Optimization Algorithms Research","score":0.9988999962806702,"subfield":{"id":"https://openalex.org/subfields/2612","display_name":"Numerical Analysis"},"field":{"id":"https://openalex.org/fields/26","display_name":"Mathematics"},"domain":{"id":"https://openalex.org/domains/3","display_name":"Physical Sciences"}}],"keywords":[{"id":"https://openalex.org/keywords/mathematics","display_name":"Mathematics","score":0.78813636302948},{"id":"https://openalex.org/keywords/interpolation","display_name":"Interpolation (computer graphics)","score":0.770587682723999},{"id":"https://openalex.org/keywords/bounded-function","display_name":"Bounded function","score":0.6144547462463379},{"id":"https://openalex.org/keywords/lagrange-polynomial","display_name":"Lagrange polynomial","score":0.5934707522392273},{"id":"https://openalex.org/keywords/constant","display_name":"Constant (computer programming)","score":0.5927103161811829},{"id":"https://openalex.org/keywords/applied-mathematics","display_name":"Applied mathematics","score":0.5232028961181641},{"id":"https://openalex.org/keywords/polynomial-interpolation","display_name":"Polynomial interpolation","score":0.477260559797287},{"id":"https://openalex.org/keywords/polynomial","display_name":"Polynomial","score":0.4334659278392792},{"id":"https://openalex.org/keywords/mathematical-optimization","display_name":"Mathematical optimization","score":0.39060068130493164},{"id":"https://openalex.org/keywords/mathematical-analysis","display_name":"Mathematical analysis","score":0.3774797320365906},{"id":"https://openalex.org/keywords/linear-interpolation","display_name":"Linear interpolation","score":0.3661496341228485},{"id":"https://openalex.org/keywords/algorithm","display_name":"Algorithm","score":0.35697078704833984},{"id":"https://openalex.org/keywords/computer-science","display_name":"Computer science","score":0.14100971817970276}],"concepts":[{"id":"https://openalex.org/C33923547","wikidata":"https://www.wikidata.org/wiki/Q395","display_name":"Mathematics","level":0,"score":0.78813636302948},{"id":"https://openalex.org/C137800194","wikidata":"https://www.wikidata.org/wiki/Q11713455","display_name":"Interpolation (computer graphics)","level":3,"score":0.770587682723999},{"id":"https://openalex.org/C34388435","wikidata":"https://www.wikidata.org/wiki/Q2267362","display_name":"Bounded function","level":2,"score":0.6144547462463379},{"id":"https://openalex.org/C64208722","wikidata":"https://www.wikidata.org/wiki/Q861606","display_name":"Lagrange polynomial","level":3,"score":0.5934707522392273},{"id":"https://openalex.org/C2777027219","wikidata":"https://www.wikidata.org/wiki/Q1284190","display_name":"Constant (computer programming)","level":2,"score":0.5927103161811829},{"id":"https://openalex.org/C28826006","wikidata":"https://www.wikidata.org/wiki/Q33521","display_name":"Applied mathematics","level":1,"score":0.5232028961181641},{"id":"https://openalex.org/C88080468","wikidata":"https://www.wikidata.org/wiki/Q637347","display_name":"Polynomial interpolation","level":4,"score":0.477260559797287},{"id":"https://openalex.org/C90119067","wikidata":"https://www.wikidata.org/wiki/Q43260","display_name":"Polynomial","level":2,"score":0.4334659278392792},{"id":"https://openalex.org/C126255220","wikidata":"https://www.wikidata.org/wiki/Q141495","display_name":"Mathematical optimization","level":1,"score":0.39060068130493164},{"id":"https://openalex.org/C134306372","wikidata":"https://www.wikidata.org/wiki/Q7754","display_name":"Mathematical analysis","level":1,"score":0.3774797320365906},{"id":"https://openalex.org/C171836373","wikidata":"https://www.wikidata.org/wiki/Q2266329","display_name":"Linear interpolation","level":3,"score":0.3661496341228485},{"id":"https://openalex.org/C11413529","wikidata":"https://www.wikidata.org/wiki/Q8366","display_name":"Algorithm","level":1,"score":0.35697078704833984},{"id":"https://openalex.org/C41008148","wikidata":"https://www.wikidata.org/wiki/Q21198","display_name":"Computer science","level":0,"score":0.14100971817970276},{"id":"https://openalex.org/C121684516","wikidata":"https://www.wikidata.org/wiki/Q7600677","display_name":"Computer graphics (images)","level":1,"score":0.0},{"id":"https://openalex.org/C502989409","wikidata":"https://www.wikidata.org/wiki/Q11425","display_name":"Animation","level":2,"score":0.0},{"id":"https://openalex.org/C199360897","wikidata":"https://www.wikidata.org/wiki/Q9143","display_name":"Programming language","level":1,"score":0.0}],"mesh":[],"locations_count":3,"locations":[{"id":"doi:10.1007/s10107-006-0073-5","is_oa":false,"landing_page_url":"https://doi.org/10.1007/s10107-006-0073-5","pdf_url":null,"source":{"id":"https://openalex.org/S193920097","display_name":"Mathematical Programming","issn_l":"0025-5610","issn":["0025-5610","1436-4646"],"is_oa":false,"is_in_doaj":false,"is_core":true,"host_organization":"https://openalex.org/P4310319900","host_organization_name":"Springer Science+Business Media","host_organization_lineage":["https://openalex.org/P4310319900","https://openalex.org/P4310319965"],"host_organization_lineage_names":["Springer Science+Business Media","Springer Nature"],"type":"journal"},"license":null,"license_id":null,"version":"publishedVersion","is_accepted":true,"is_published":true,"raw_source_name":"Mathematical Programming","raw_type":"journal-article"},{"id":"pmh:oai:CiteSeerX.psu:10.1.1.103.2587","is_oa":false,"landing_page_url":"http://citeseerx.ist.psu.edu/viewdoc/summary?doi=10.1.1.103.2587","pdf_url":null,"source":null,"license":null,"license_id":null,"version":"submittedVersion","is_accepted":false,"is_published":false,"raw_source_name":"http://www.mat.uc.pt/~lnv/papers/csv.pdf","raw_type":"text"},{"id":"pmh:oai:estudogeral.sib.uc.pt:10316/7727","is_oa":false,"landing_page_url":"http://hdl.handle.net/10316/7727","pdf_url":null,"source":{"id":"https://openalex.org/S4306401208","display_name":"Estudo Geral (Universidade de Coimbra)","issn_l":null,"issn":null,"is_oa":false,"is_in_doaj":false,"is_core":false,"host_organization":"https://openalex.org/I2802025818","host_organization_name":"Hospitais da Universidade de Coimbra","host_organization_lineage":["https://openalex.org/I2802025818"],"host_organization_lineage_names":[],"type":"repository"},"license":null,"license_id":null,"version":"submittedVersion","is_accepted":false,"is_published":false,"raw_source_name":"","raw_type":"http://purl.org/coar/resource_type/c_6501"}],"best_oa_location":null,"sustainable_development_goals":[],"awards":[],"funders":[],"has_content":{"pdf":false,"grobid_xml":false},"content_urls":null,"referenced_works_count":26,"referenced_works":["https://openalex.org/W72823879","https://openalex.org/W147998453","https://openalex.org/W164858012","https://openalex.org/W1548898283","https://openalex.org/W1786620475","https://openalex.org/W1966878414","https://openalex.org/W1994087315","https://openalex.org/W2014337138","https://openalex.org/W2022250875","https://openalex.org/W2045932400","https://openalex.org/W2046914952","https://openalex.org/W2054875385","https://openalex.org/W2061368966","https://openalex.org/W2062926156","https://openalex.org/W2068484625","https://openalex.org/W2079777091","https://openalex.org/W2091849172","https://openalex.org/W2092810212","https://openalex.org/W2096605501","https://openalex.org/W2123224804","https://openalex.org/W2137496927","https://openalex.org/W2148589597","https://openalex.org/W2162737890","https://openalex.org/W2500375636","https://openalex.org/W2605471592","https://openalex.org/W4236478587"],"related_works":["https://openalex.org/W1179085681","https://openalex.org/W2374545223","https://openalex.org/W2095809698","https://openalex.org/W2371738094","https://openalex.org/W2291214609","https://openalex.org/W1525419764","https://openalex.org/W2351859300","https://openalex.org/W2587745679","https://openalex.org/W2380927281","https://openalex.org/W2167857334"],"abstract_inverted_index":null,"counts_by_year":[{"year":2025,"cited_by_count":3},{"year":2024,"cited_by_count":8},{"year":2023,"cited_by_count":8},{"year":2022,"cited_by_count":13},{"year":2021,"cited_by_count":10},{"year":2020,"cited_by_count":12},{"year":2019,"cited_by_count":6},{"year":2018,"cited_by_count":4},{"year":2017,"cited_by_count":7},{"year":2016,"cited_by_count":5},{"year":2015,"cited_by_count":6},{"year":2014,"cited_by_count":12},{"year":2013,"cited_by_count":11},{"year":2012,"cited_by_count":7}],"updated_date":"2026-06-15T08:34:33.830935","created_date":"2025-10-10T00:00:00"}